Answer:
$15
Step-by-step explanation:
Since we are given the actual equation, which is c = 15d + 24 (it is repeated in the question twice) we can see that the independent variable would be the number of days that the car is rented. Therefore we can simply plug in a value for this to calculate c. So below we can see the total cost for 1 day rent (d = 1 ) and 2 days rented (d = 2)
c = 15(1) + 24 = 39
c = 15(2) + 24 = 54
Now we can simply subtract these two values and to see the daily increase
54-39 = 15
Therefore we can see that the total price will increase by $15 for each day that it is rented.
An 8ft length of 4 inch wide crown molding costs $14. How much will it cost to buy 56 ft of crown molding?
Answer:
$98
Step-by-step explanation:
56/8= 7
7x14=98
Hope this helps.
The length of the line?
Answer:c
Step-by-step explanation:
Answer:
[tex]\sqrt{136}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem!
Find the terminal point on the unit circle determined by pi radians.
Use exact values, not decimal approximations.
The terminal point on the unit circle determined by π radians is (-1, 0).
To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).
Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:
x = cos(π) = -1
y = sin(π) = 0
The terminal point on the unit circle determined by π radians is (-1, 0).
It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.
By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.
For more such questions on terminal point on the unit circle
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The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
Answer:
34
Step-by-step explanation:
1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then
2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;
3. according to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;
4. if to make up the system of two equation and calculate the values of 'x' and 'y':
5. if x=34, then Caleb is 34 old now.
a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
Answer:
The original price is 337.50
Step-by-step explanation:
If we get 20% off, we still have to pay 100-20 =80%
Let x be the original price
x *80% = 270
.80x = 270
Divide each side by .80
.80x/.80 = 270/.80
x =337.50
The original price is 337.50
Answer:
the original price was $324.
Step-by-step explanation:
since 20% of $270 is $54, you add the $54 and get $324.
hope this helps! best of luck <3 (also i didn't include tax; it didn't specify and also i don't know the tax for your region)
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
Answer:
1) mass divided by volume
Step-by-step explanation:
Answer:
1. Mass Divided By Volume
Step-by-step explanation:
D = M / V
Density is equal to mass. (In any form such as: grams, pounds or another unit)
Porsches mom told her to choose 3 crayons out of a box
6x+3=38-x
help please
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]6x+3=38-x[/tex]
Subtract 3 from both sides:
[tex]6x+3-3=38-x-3[/tex]
[tex]6x=-x+35[/tex]
Add x to both sides:
[tex]6x+x=-x+35+x[/tex]
[tex]7x=35[/tex]
Divide 7 on both sides:
[tex]\frac{7x}{7}=\frac{35}{7}[/tex]
[tex]x=5[/tex]
60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.
Answer:
x=16
Step-by-step explanation:
I hope this helps you
Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24?
(Answers attached)
Answer:
min = (4, -136) ; max = (-2,80)
Step-by-step explanation:
The option is B
The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The cubic function:
f(x) = 2x³ - 6x² - 48x + 24
Find f'(x):
f'(x) = 6x² - 12x - 48
Equate f'(x) to zero:
6x² - 12x - 48 = 0
Find the roots of the quadratic equation:
x = -2
x = 4
Find f''(x):
f''(x) = 12x - 12
Plug x = -2
f''(-2) = -24 - 12 = -36 < 0
At x = -2 f(x) is minimum
f(-2) = 80
Plug x = 4
f''(4) = 48 - 12 = 36 > 0
At x = 4 f(x) is maximum
f(4) = -136
Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.
Learn more about the function here:
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Which statement about the arrow is true?
A)The arrow does not have rotational symmetry.
B)The arrow has rotational symmetry after a 90° rotation.
C)The arrow has rotational symmetry after a 180° rotation.
D)The arrow has rotational symmetry after a 270° rotation.
Answer:
The arrow has the rotational symmetry after a 180 degree rotation
Step-by-step explanation:
It looks the same after tuning it by that degree, also i took the test :)
Three sixth-grade students competed in the 100-meter dash. The table shows their times.
Which list shows the times in order from least to greatest?
Student
Time (seconds)
13.1
Tiana
James
13.2
Dakota
12.9
A. 13.2, 13.1, 12.9
B. 12.9, 13.2, 13.1
O
C. 12.9, 13.1, 13.2
O
D. 13.1, 13.2, 12.9
Answer:
It is 12.9, 13.1, 13.2 C.
Step-by-step explanation:
List C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
What is the number?
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, three sixth-grade students competed in the 100-meter dash time taken by Tiana, James and Dakota will be 13.1, 13.2 and 12.9
The numbers are written in an ordered list according to their values when they are arranged from least to greatest.
The smallest number should be written on the left, followed immediately by the next smallest number. Numbers should be ordered from lowest (first) to highest (last). It is known as "Ascending Order."
The numbers are arranged as 12.9< 13.1 < 13.2
Thus, list C shows the times in order from least to greatest i.e. 12.9, 13.1, 13.2.
Learn more about the number here:
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10/r - 7 - 6b if r = 5 and b = -6
Steps to solve:
10/r - 7 - 6b when r = 5 and b = -6
~Substitute
10/5 - 7 - 6(6)
~Simplify
5 - 7 + 36
~Subtract
-2 + 36
~Add
34
Best of Luck!
Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot
Answer:
The box plot
Step-by-step explanation:
Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después de cuántos metros la lancha alcanzará al bote?
Answer:
La lancha y el bote se encontrarán a 70 metros de distancia del puente.
Step-by-step explanation:
Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:
Bote a 7 metros por segundo
[tex]x_{A} = x_{o}+v_{A}\cdot t[/tex] (Ec. 1)
Lancha a 10 metros por segundo
[tex]x_{B} = x_{o}+v_{B}\cdot (t-3\,s)[/tex] (Ec. 2)
Donde:
[tex]x_{o}[/tex] - Posición debajo del puente, medido en metros.
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posición final de cada embarcación, medido en metros.
[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocidad de cada embarcación, medida en metros por segundo.
[tex]t[/tex] - Tiempo, medido en segundos.
Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: [tex]x_{A} = x_{B}[/tex]
Igualando (Ec. 1) y (Ec. 2) se tiene que:
[tex]v_{A}\cdot t = v_{B}\cdot (t-3\,s)[/tex]
Ahora despejamos el tiempo:
[tex]3\cdot v_{B} = (v_{B}-v_{A})\cdot t[/tex]
[tex]t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}[/tex]
Si sabemos que [tex]v_{B} = 10\,\frac{m}{s}[/tex] y [tex]v_{A} = 7\,\frac{m}{s}[/tex], entonces:
[tex]t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}[/tex]
[tex]t = 10\,s[/tex]
Ahora, la posición de encuentro es: ([tex]x_{o} = 0\,m[/tex], [tex]v_{A} = 7\,\frac{m}{s}[/tex] y [tex]t = 10\,s[/tex])
[tex]x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)[/tex]
[tex]x_{A} = 70\,m[/tex]
La lancha y el bote se encontrarán a 70 metros de distancia del puente.
In segment AC, the midpoint is B. If segments AC = 8 AB = 3x-1 find x.
Answer:
If B is the midpoint, it means
AC=2AB
8= 2(3x-1)
8= 6x-2
8+2= 6x
10= 6x
x= 10/6
x= 1.67
Hope it helps :-)
what is x6y6z2 please asap
Dear student,
I request you to make you question more clear.
thank you,
________ ___________________________________
Please help asap need to be done now
Answer:
15.71 is the perimeter.Step-by-step explanation:
Perimeter = Circumference
Step 1. Know and recognize what you have
C = pi*d
pi = 3.142
d = 10
Step 2. Solve for the circumference of whole circle
C = 3.142*10
C = 31.42
Step 3. Solve for the questions answer
C of semicircle = 31.42/2
C of semicircle = 15.71Hope this helped,
Kavitha
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63
Answer:
7
Step-by-step explanation:
3x – one-ninthy = 18, when y = 27?
one-ninthy 27 = 3
3x - 3 = 18
3 x 7 = 21
21 - 3 = 18
hope this helps
Answer:
7
Step-by-step explanation:
answered on edge
the opposite of g(x) is -9(x),
then -g(x) =
If 9 (x) = – 5x2 – 4x + 19 find f (–3)
Answer:
- 14
Step-by-step explanation:
[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]
Answer these questions please please
Answer:
Step-by-step
i) a² - 2ab + b² = (a + b)²
a² = p² ; a = p
b² = 16 = 4² ; b = 4
2ab = 2*p*4 = 8p
p² - 8p + 16 = (p - 4)²
ii) a² + 2ab + b² = (a +b)²
a² = 121x² = (11x)² ; b² = 4y² = (2y)²
2ab = 2 * 11x * 2y = 44xy
121x² + 44xy + 4y² = (11x + 2y)²
What is 72% of 87.5?
-15 - 7= Please help if you know what it is please show work if you can as well? :)
Answer:
-22
Step-by-step explanation:
Determine whether the underlined numerical value is a parameter or statistics.
The average annual salary of 50 of a company's 800 employees is $54,000.
Answer:
The numeric value is a statistic because the data set of salaries of 50 employees is a sample
Step-by-step explanation:
50 of a company's 800 employees is $54,000.
800 is the population, of all the employees of the company
$54,000 is the value of 50 employees which sample or subset is of 800 employees
A factory manufactures tennis balls. Each tennis ball is stamped with the number 1, 2, 3, or 4. The table shown below lists the percent of tennis balls stamped with each number. What is the probability that a tennis ball selected at random is stamped with an even number? 1/35% 2/30% 3/20% 4/15%
Answer:
Step-by-step explanation:
the answer is .25 because i got it right and it makes alot of sense
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
c=2×3.14r to find the circumference of a circle with a radius of 5 meters
Answer:
C≈31.42
r Radius 5
What is the common ratio for the sequence 54, 18, 6, 2, ...? -1/3 -3 1/3 3
Answer:
first term (a) = 54
Second term (b) = 18
common ratio = b/a = 18/54 = 1/3
what is 23.67 times 2.03
23.67 X 2.03 = 48.0501
Hope this helps! :)
Answer:
48.0501
Step-by-step explanation: